Advanced Geometric Problem & Solution (Twice a week update) Now 4638 problems posted.
<Qua-2025-775>, hint
Suppose BC=1, BL=t, BK=s,
triangles BKL and CLM are congruent, so CM=t, CL=s, t+s=1( BL+CL=1)
BA/BL=1/t, AD/AK=1/(1-s), Since t+s=1 --->t=1-s. Hence AL and KD are perpendicular
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